Use the quotient rule to find the derivative, h' (x), of the following function. 3x h(x) 8- 5x Provide your answer below: W(x) =

Q: Given f(x) = 2/ (x + 5) and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x)

A: Given f(x) = 2/ (x + 5) and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x))

Q: Evaluate the integral. dx 9, NOTE: Enter the exact answer.

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Q: Find the area of the region included between the parabolas y? = 4(p + 1)(x +p+ 1), and y? = 4(p² + 1...

A: Here we have to find the area of the region bounded by the two parabolas.

Q: e Wallis's Formulas to evaluate the integral. 'T/2 .3, cos xp (x),s

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Q: Sx² – 4x + 1, < 4 15-a, x 2 4 Evaluate the following limits for h(x)= and Justify your answer. %3D (...

A: This is a problem related to limit of the function. Function is called as continuous if it's right h...

Q: Use the given graph of the function f. y (2, 10) 10 (-2, 6) (-5, 0) (5,0) -10 (0, 0) 10 X (-8, -4) -...

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Q: ) .3 Find the derivative of h(x) = cos (2x – 5 %3D

A: Given,            hx=cos42x3-5To find : The derivative of the given function.

Q: f (x,y) =x³ cos y Given df (2, 1) дх of and (2, л). Evaluate ду

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Q: A company has a total budget of $700,000 and spends this budget on raw materials and personnel. The ...

A: Since you have posted multiple questions i can do first question ( with all subparts)as per our comp...

Q: uppose ſ, f (x)dx = 8, f(x)dx = 10 , §' g(x)dx = 4 , fó g(x)dx = %3D %3D %D ind : f (x)dx 4 [f (x) +...

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Q: b. 2 sin? x+3 sin x = -1

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Q: If f(x) = 3 cot-x + 7, then find the value of f'(-7) is. 3 50 -3 50 50 V50 O O

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Q: T(t) = r'(t) N= T'(4) %3D Find Ť (t) t Ñ Ct) for ct)=tî t+4Eŷ. Evaulate tLt) $ Ñ Ct) for t= 3,

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Q: If f(x) = 5 cot 'z + 10, then find the value of f'(-8) is, -8 65 65 -10 V65 65 O o

A: Given the function

Q: Suppose that y is inversely proportional to the square of x, and that y=64 when x=5. What is y when ...

A: Since  y is inversely proportional to the square of xy ∝1x2y =k 1x2where k is constant

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Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE: ...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: d dx 4(-10x-4) = O

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

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Q: x2+4 lim x→+00 2r-

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Q: Sole (y-+y Jde - xdy -0 When x0, y=

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Q: ds At time t, the velocity of a moving body is given by at where "a" is a dt constant and s is the b...

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Q: Which of the following three improper integrals is/are convergent? 1 +o∞ (1) S™* sin x dæ (II) S"™ S...

A: We have to find these integrals are convergent or divergent. 

Q: 2 5. f(x) = x3

A: We will use the definition of a derivative to solve this question.

Q: Enclosing the Largest Area The owner of the Rancho Los Feliz has 2940 yd of fencing to enclose a rec...

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Q: 2x + 8, z 8 is continuous at z = 8. Justify the conclusion. (i) f(8)= (ii) lim f(r)= Z-18 (iii) lim ...

A: i) f(8)=16ii)limx→8-f(x)=limx→8-(2x+8)                     =2(8)+8                                  ...

Q: 2. Solve the measure of the indicated angles using Figure 2. a. mzK = b. mzl = c. m2C = K (7x + 5) %...

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Q: Given the power series, (x+7)" determine its radius and Σ 2n Vn2 – 1 interval of convergence. 3 n=2

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Q: 1. Find the directional derivative of f(x,y) = In(a2 + y²) at the point P(2,1) in the direction of t...

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Q: Write the function whose graph is the graph of y = x +1, but is reflected about the y-axis. y = (Sim...

A: The given function,     y=x+1

Q: 2х + 7, х 7 From the following results, determine whether the function f(x): is continuous at x = 7...

A: I am attaching image so that you understand each and every step.

Q: Read and answer the given question below. Use a separate paper for your answers. sx+3, x>3 - 3, x<3'...

A: Given: fx=x+3, x≥3x2-3, x≤3 To evaluate: limx→3fx

Q: For the following functions, determine , Je Je and se e, f(r,0,z) = r(1 – cos0) – z For the followin...

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Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate...

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Q: 2. y=cot1-2x 3. y=log22x*

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Q: Evaluate the double integral over the rectangular region R S SR 4xy°dA; R = (x, y) : –4 <x < 4, –14 ...

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Q: y³dy Let y = 2 sin 0 %3D 4- y2

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Q: Select the basic integration formula you |(15cos(7x))esin(7) dx e du u du cos(u) du sin(u) du Identi...

A: here we use substitute method so  u = sin7x du/dx = 7cos7x dx = du/7cos7x so put this value in equat...

Q: Find the Wronskian of the functions f(t) = 2et sin(t) and g(t) = e' cos(t). NOTE: Your answer must b...

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Q: If f(x) = 8 cot- x + 5, then find the value of f'(-3) is %3D -3 10 -8 10 8 10 -5 /10 8. O O

A: Given

Q: Decide whether the integral is improper. ** sin(x) dx 60 + x2 -00 O proper O improper Explain your r...

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Q: Rewrite the following integral using substitution: sẽ (1 + 3x)?dx

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Q: Charter Revenue The owner of a luxury motor yacht that salls among the 4000 Greek Islands charges $5...

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Q: What is the general solution to the differential equation y[1 – xy tan(xy)]dx – x[1+ xy tan(xy)]dy =...

A: Put yx=v and solve it. 

Q: Given yz + x? z3 = e"y². Use implicit dz differentiation to find

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Q: 8. 6. If f(r) = 5 cot +4, then find the value of f'(-9) is -5 82 V82 82 V 82

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Q: V. Discuss the continuity of the following functions. If discontinuous, identify the discontinuity. ...

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Q: A potato is launched vertically upward with an initial velocity of 147 ft/s from a potato gun at the...

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